The temperture of a definite amount of an ideal monoatomic gas becomes four times in a reversible
process for which heat exchange is zero. Which of the following is correct relation between the final and
initial parameters of gas ?

Options

A. `V_(f)= 8V_(i)`
B. `P_(f)=32P_(i)`
C. `V_(f)= 16 V_(i)`
D. `P_(f)=(1)/(16)P_(i)`

Answer

B

Explanation

`((V_(1))/(V_(2)))= ((T_(2))/(T_(1))) ^((1)/(gamma-1))= (3)^(3//2)=8`
`(P_(1))/(P_(2))= ((T_(2))/(T_(1)))^((gamma)/(1-gamma)) = (3)^((5//3)/(-2//3))=(3)^(-5//2) = (1)/(32)`